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Finding the Fourth Proportional to 109,481.78, 164,222.82 and 26,375.78

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Solution

The fourth proportional to 109,481.78, 164,222.82 and 26,375.78 is: 39,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,481.78 : 164,222.82 = 26,375.78 : x
  2. Step 2: Convert to fraction form
    109,481.78/164,222.82 = 26,375.78/x
  3. Step 3: Cross multiply
    109,481.78x = 164,222.82 × 26,375.78
  4. Step 4: Simplify right side
    109,481.78x = 4,331,504,971.30
  5. Step 5: Solve for x
    x = 4,331,504,971.30/109,481.78
  6. Step 6: Final answer
    x = 39,563.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.